The number 18002
18002 is a composite number with 4 divisors. Its prime factorisation is 2 × 9001. Divisors (4): 1, 2, 9001, 18002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18002: a semiprime: 2 × 9001, the product of two primes.
- 2
18002 is composite. Its prime factorisation is
- 3
The divisors add up to 27006; without 18002 itself that is 9004, so 18002 is deficient (9004 is less than 18002). Euler's totient φ(18002) = 9000 numbers up to 18002 share no factor with it.
- 4
The digits of 18002 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18002 = 2 \times 9001 \]
18002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 27006 |
| Euler totient φ(n) | 9000 |
| Square | 324072004 |
| Cube | 5833944216008 |
| Square root | 134.171532 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.8002 × |
18002 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and two |
| Binary (base 2) | 100011001010010 |
| Octal (base 8) | 43122 |
| Hexadecimal (base 16) | 4652 |
| Base 3 | 220200202 |
| As time | 18002 seconds = 5 h 0 min 2 s |
Is 18002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18002 ÷ 2 = 9001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18002 a prime number?
No. 18002 = 2 × 9001, so it is divisible by 2.
What are the factors of 18002?
1, 2, 9001, 18002.
What is 18002 in binary?
100011001010010 (hexadecimal 4652, octal 43122).
What is the square root of 18002?
About 134.1715.
Is 18002 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 18002?
18002 is a semiprime: 2 × 9001, the product of two primes.